45571680 has 384 divisors, whose sum is σ = 200309760. Its totient is φ = 9400320.

The previous prime is 45571661. The next prime is 45571681. The reversal of 45571680 is 8617554.

45571680 is a `hidden beast` number, since 4 + 5 + 571 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45571681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 332572 + ... + 332708.

It is an arithmetic number, because the mean of its divisors is an integer number (521640).

Almost surely, 2^45571680 is an apocalyptic number.

45571680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45571680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154880).

45571680 is an abundant number, since it is smaller than the sum of its proper divisors (154738080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45571680 is a wasteful number, since it uses less digits than its factorization.

45571680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45571680 is about 6750.6799657516. The cubic root of 45571680 is about 357.1892224757.

The spelling of 45571680 in words is "forty-five million, five hundred seventy-one thousand, six hundred eighty".